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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 65
FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS
Edited by: B.H.V. Topping
Paper VII.1

Vibration of Plates using Hybrid-Trefftz Elements

J. Petrolito

Division of Physical Sciences and Engineering, La Trobe University, Bendigo, Victoria, Australia

Full Bibliographic Reference for this paper
J. Petrolito, "Vibration of Plates using Hybrid-Trefftz Elements", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 159-164, 2000. doi:10.4203/ccp.65.7.1
Abstract
This paper discusses the development of finite elements using a hybrid-Trefftz formulation for the dynamic analysis of thick plates. Independent interpolations are used for the internal and inter-element displacements and rotations. The internal interpolations are chosen so that the homogeneous static equations of equilibrium are exactly satisfied, and this avoids the locking problem. The formulation can be used to develop elements with arbitrary polygonal shapes. Two examples are presented to demonstrate the accuracy of some typical elements derived from this formulation.

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